Timeline for Cohomology of invariant differential forms
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 28, 2022 at 14:45 | vote | accept | studiosus | ||
| Oct 28, 2022 at 13:48 | answer | added | Misha Verbitsky | timeline score: 4 | |
| Oct 26, 2022 at 8:43 | comment | added | studiosus | @ChrisMcDaniel Only when the group acting is a compact Lie group, isn't it? This doesn't apply to the case $G=\mathbb{Z}$. | |
| Oct 26, 2022 at 0:35 | comment | added | Chris McDaniel | @studiosus yes but he also says that the cohomology of invariant differential forms is isomorphic to the invariant cohomology classes, which does indeed inject into the cohomology ring. | |
| Oct 25, 2022 at 20:47 | comment | added | studiosus | @ChrisMcDaniel Not really. My question is indeed about a specific group action $(G=\mathbb{Z})$, but the counterexample to injectivity in your link concerns a non-compact manifold (essentially what Francesco Polizzi says in his comment above) | |
| Oct 25, 2022 at 20:36 | comment | added | Chris McDaniel | Is this the same question: mathoverflow.net/questions/294918/… | |
| Oct 25, 2022 at 17:31 | comment | added | Francesco Polizzi | If you allow non-compact manifolds, it seems to me that the diffeomorphism $x \mapsto x+1$ of $\mathbb{R}$ should provide a counterexample. | |
| Oct 25, 2022 at 17:00 | history | asked | studiosus | CC BY-SA 4.0 |